期刊
JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION
卷 84, 期 2, 页码 231-247出版社
TAYLOR & FRANCIS LTD
DOI: 10.1080/00949655.2012.704517
关键词
empirical distribution function; order statistic; moment inequality; right spread function; asymptotically normal; Primary; 62G10; 62G20; Secondary; 90B25
Testing of various classes of life distributions has been addressed in the literature for more than 45 years. In this paper, we consider the problem of testing exponentiality (which essentially implies no ageing) against positive ageing which is captured by the fairly large class of new better than used in expectation (NBUE) distributions. These tests of exponentiality against NBUE alternatives are discussed and compared. The empirical size of the tests is obtained by simulations. Power comparisons for different popular alternatives are done using Monte Carlo simulations. These comparisons are made for both small and large sample sizes. The paper concludes with a discussion in which suggestions are made regarding the choices of the test when a particular alternative is suspected.
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